-LRB- CNN -RRB- -- Defending champion Li Na continued the defense of her French Open crown on Thursday with a second round win over Stephanie Foretz Gacon .

Seventh seed Li , who became China 's first grand slam champion with her Roland Garros triumph last year , recorded a straight-forward 6-0 6-2 victory over the Frenchwoman in just 52 minutes .

The 30-year-old will play unseeded American Christina McHale in round three , after the world No. 35 got the better of compatriot Lauren Davis .

Li 's fellow grand slam winner Petra Kvitova also registered a comfortable win , beating 90th-ranked Pole Urszula Radwanska 6-1 6-3 .

The 2011 Wimbledon champion , ranked No. 4 in the world , set up a meeting with Russian Nina Bratchikova .

Former world No. 1 Caroline Wozniacki also looked in good touch as she scored a 6-1 6-4 victory against Australia 's Jarmila Gajdosova .

The Dane , who is yet to win a grand slam title , has not clinched a WTA Tour title since August 2011 and has recently struggled with form and fitness .

But having switched from being coached by her father Piotr to working with former Australian Open Champion Thomas Johansson , Wozniacki feels positive about her future .

`` It 's been working well , '' the 21-year-old , who will face 23rd seed Kaia Kanepi in round three , told the tournament 's official website . `` He tells me what he thinks and he 's not soft .

`` I do n't like when someone tells me , ` Oh , it 's great , it 's great ' when it 's actually terrible ... I want someone who is strict and tells me things how they are . ''

Italy 's Francesca Schiavone , a beaten finalist in 2011 , battled back from one set down against Bulgaria 's Tsvetana Pironkova to set up a contest with Uzbekistan-born American Varvara Lepchenko .

Lepchenko , ranked 61 in the world , advanced courtesy of a shock 7-6 -LRB- 7-4 -RRB- 4-6 6-4 win against former world No. 1 Jelena Jankovic .

German 10th seed Angelique Kerber cruised past Bulgaria 's Olga Govortsova , winning 6-3 6-2 . The 24-year-old will play Italian No. 18 Flavia Pennetta in round three .

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Li Na reaches the French Open third round after beating Stephanie Foretz Gacon

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Former world No. 1 Caroline Wozniacki and Wimbledon champion Petra Kvitova also win

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2011 runner-up Francesca Schiavone fights back to beat Tsvetana Pironkova

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No. 10 Angelique Kerber and 18th seed Flavia Pennetta will play each in round three